Circle Angles Worksheet Page 4
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412/14/2015
Linear and Angular Speed
Example 16.4.1
Suppose that P is on a circle with radius 15
Angular speed is given as:
inches, and the circle is rotating at π/12 radians
per second.
=
Linear speed is given as:
a) Find the angle rotated in 10 seconds
b) Find the distance traveled by P in 10
=
seconds.
c) Find the linear speed of P in inches per
second.
Example 16.4.2
Example 16.4.3
A belt runs a pulley of radius 5 inches at 120
A satellite traveling in a circular orbit
revolutions per minute.
approximately 1800 km above the surface of
the earth (which has a radius of 6400 km). The
a) Find the angular speed of the pulley in
satellite orbits once every 2.5 hours.
radians per second.
a) Approximate the linear speed of the satellite
b) Find the linear speed of the belt in inches per
in km/h.
second.
b) Approximate the distance the satellite travels
in 3.5 hours.
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